The owner of a surf shop nds the probability of the daily number of surfboards sold in his shop and puts these data in the following probability distribution table. X 0 1 2 3 4 5 p(x) 0.03 0.20 0.54 0.03 0.02 (a) Fill in the missing value in the table. x 0 1 2 3 4 5 p(X) 0.03 0.20 0.54 0.03 0.02 (b) What is the mean of this discrete random variable? (c) What is the standard deviation of this discrete random variable? (d) The surf shop owner receives $450 in revenue for each surfboard he sells. However, he must pay 8% tax per surfboard sold. What is the standard deviation of his daily income? (Round your answer to two decimal places.) 35